Step-by-step explanation:
4(sin⁴ 60° + cos⁴ 60°) = 1 + 3(sin²60° - Cos² 60°)
sin 60°=[tex]\frac{\sqrt{3} }{2}[/tex]
Cos 60°= [tex]\frac{1}{2}[/tex]
[tex]4(( \frac{\sqrt{3} }{2}) ^{4} +(\frac{1}{2}) ^{4} )=1+3(( \frac{\sqrt{3} }{2}) ^{2} +(\frac{1}{2}) ^{2} )[/tex]
then do it by the calculator and they will be equal 2.5
I hope it will help
